Question

The equation of the common tangent to the curves y2 = 8x and xy = -1 is… ?

Answer 1

Step-by-step explanation:

Tangent to the curve y² = 8x is y = mx + 2/m.

This must satisfy xy = -1.

Hence, x(mx + 2/m) = -1

This gives mx² + 2/m x + 1 = 0.

Now, since it has equal roots so D = 0.

Hence, 4/m² – 4m = 0

This gives m³ = 1 which gives m = 1.

Hence, the equation of common tangent is y = x +2.

Hope it will help.....

Answer 2

Answer:

sorry i dont know the answr

Step-by-step explanation:

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